Search a number
-
+
29226488256 = 2633721937491
BaseRepresentation
bin11011001110000010…
…001101000111000000
32210102211210102202000
4123032002031013000
5434323440111011
621232041024000
72053155023400
oct331602150700
983384712660
1029226488256
1111438655229
1257b7a85000
1329aa057944
1415b3816800
15b60c85356
hex6ce08d1c0

29226488256 has 672 divisors, whose sum is σ = 108272275200. Its totient is φ = 7681443840.

The previous prime is 29226488243. The next prime is 29226488273. The reversal of 29226488256 is 65288462292.

It is a happy number.

29226488256 is a `hidden beast` number, since 2 + 92 + 26 + 488 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59524171 + ... + 59524661.

Almost surely, 229226488256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29226488256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54136137600).

29226488256 is an abundant number, since it is smaller than the sum of its proper divisors (79045786944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29226488256 is a wasteful number, since it uses less digits than its factorization.

29226488256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 559 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 29226488256 in words is "twenty-nine billion, two hundred twenty-six million, four hundred eighty-eight thousand, two hundred fifty-six".